Quantum adiabatic switching route to the impurity modulated states of 2‐D quantum dots with different switching functions

Abstract

ABSTRACT:A time-dependent quantum adiabatic switching algorithm is exploited to determine the eigenstates of 2-D quantum dots perturbed by a repulsive scatterer. Several forms of switching functions are explored and optimal forms are suggested. The switching paths are compared for a number of states, using overlap, information entropy and energy as descriptors for possible identification of the optimal switching function.

Tunneling in 2-D quantum dots via quantum adiabatic switching route

“…The quantum adiabatic theorem then guarantees that an eigenfunction of the unperturbed dot Hamiltonian (t =0) evolves into the corresponding eigenstate of the perturbed dot Hamiltonian if the switching rate is sufficiently slow and the switching function satisfies the Kato conditions [53]. In practical applications these conditions are difficult to ensure and one must strike a balance so that the switching time is not too high and the adiabaticity of the transition is maintained as closely as possible [54]. In fact quasi-adiabatic switching has been successfully used to fabricate arrays of semiconductor quantum dot cellular automata (QCA) cells based on interacting dots leading to the realization of transistor-less cellular architecture [55,56].…”

“…Recently, we have made some theoretical investigations on the dynamics of quantum dots under continuous, pulsed, and chirped pulsed fields [33][34][35][36]. In this paper we focus on tunneling phenomenon in a model quantum dot.…”

Role of impurity influenced domain on excitation profile of doped quantum dot subject to oscillatory confinement potential

“…Recently we have explored some of the impurity induced dynamical aspects of QD's [39][40][41]. In some earlier works Halonen et al [42] studied the effects of a repulsive scatterer in multi-carrier dots in the presence of magnetic field.…”

Dynamics of 2-D one electron quantum dots in pulsed field: Influence of size

“…In all such situations, the response of the system to external electromagnetic fields of low frequency and intensity becomes important. In what follows recently we monitored the evolution of various properties of the 2-D dots in response to continuous or pulsed sinusoidal electric fields either in the presence or in the absence of symmetry breaking anharmonicity and impurity [34][35][36][37].…”